THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT
Let be a connected graph of order. A vertex resolves a pair of vertices of if the distance from u to x in is not equal to the distance from v to x in. For A pair of vertices of, a resolving set of of is a vertex set. A function is called as resolving function of, if for every distinct vertices of. T...
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id-itb.:189302017-09-27T11:43:13ZTHE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT JUMEIDIL ANALYES PERDANA (NIM.10108006); Pembimbing : Dr. Suhadi Wido Saputro , M. Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/18930 Let be a connected graph of order. A vertex resolves a pair of vertices of if the distance from u to x in is not equal to the distance from v to x in. For A pair of vertices of, a resolving set of of is a vertex set. A function is called as resolving function of, if for every distinct vertices of. The fractional metric dimension of is defined as minimal resolving function whrere. A comb product graphs between two connected graph and , denoted by, is a graph obtained by taking 1 copy of graph and copies of graph by grafting the-i-th copy at the vertex to the-i-th vertex of. We determine the fractional metric dimension of, where a connected graph of order at least 2 and is either complete graph with, or star graph with, or cycle graph with, or with. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
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Let be a connected graph of order. A vertex resolves a pair of vertices of if the distance from u to x in is not equal to the distance from v to x in. For A pair of vertices of, a resolving set of of is a vertex set. A function is called as resolving function of, if for every distinct vertices of. The fractional metric dimension of is defined as minimal resolving function whrere. A comb product graphs between two connected graph and , denoted by, is a graph obtained by taking 1 copy of graph and copies of graph by grafting the-i-th copy at the vertex to the-i-th vertex of. We determine the fractional metric dimension of, where a connected graph of order at least 2 and is either complete graph with, or star graph with, or cycle graph with, or with. |
| format |
Final Project |
| author |
JUMEIDIL ANALYES PERDANA (NIM.10108006); Pembimbing : Dr. Suhadi Wido Saputro , M. |
| spellingShingle |
JUMEIDIL ANALYES PERDANA (NIM.10108006); Pembimbing : Dr. Suhadi Wido Saputro , M. THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| author_facet |
JUMEIDIL ANALYES PERDANA (NIM.10108006); Pembimbing : Dr. Suhadi Wido Saputro , M. |
| author_sort |
JUMEIDIL ANALYES PERDANA (NIM.10108006); Pembimbing : Dr. Suhadi Wido Saputro , M. |
| title |
THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| title_short |
THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| title_full |
THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| title_fullStr |
THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| title_full_unstemmed |
THE FRACTIONAL METRIC DIMENSION OF GRAPH COMB PRODUCT |
| title_sort |
fractional metric dimension of graph comb product |
| url |
https://digilib.itb.ac.id/gdl/view/18930 |
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1821119680908099584 |